The value of the factorial is 5!4!/7!2! = 2/7
<h3>What is factorial?</h3>
The product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Given:
5!4!/7!2!
= 5!* 4*3*2!/7*6*5!*2!
=4*3/7*6
=12/42
=4/14
=2/7
Hence, 5!4!/7!2! = 2/7.
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So we don't have to multiply each domain, we just need to find the lowest and highest domain and put it into the equation (since we're just multiplying)
-4 and 4 are the lowest and highest.
3.2×-4=-12.8; this means that when 4 is put into the equation, it will be 12.8 since they're opposites.
So, the range is -12.8 to 12.8.
Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
m slope
n y-intercept
for:
m = -5
x = -2
y = -6
find n and insert it into the first equation
Answer:
Step-by-step explanation:
Side length of a small cube = 6y
Side length of a larger cube = 4x²
This small cube is placed inside a larger cube. We need to find the difference in the volume of the cubes.
Volume of small cube, 
Volume of lager cube,
Difference in the volume of the cubes,
We can simplify the above expression :
So, the difference in the volumes of the cubes is 
.
